Encyclopedia > Disjunction elimination

  Article Content

Disjunction elimination

In propositional calculus disjunction elimination is the inference that, if A or B is true, and both A and B entail C, then we may justifiably infer C.

For example, it's true that either I'm inside or I'm outside. It's also true that if I'm inside, I have my wallet on me. It's also true that if I'm outside, I have my wallet on me. Given these three premises, it follows that I have my wallet on me.

Formally:

  ( A ∨ B )
  ( A → C )
  ( B → C )
  ∴ C



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Great River, New York

... every 100 females there are 104.2 males. For every 100 females age 18 and over, there are 97.8 males. The median income for a household in the town is $78,399, and the ...

 
 
 
This page was created in 23.2 ms